The paper constructs explicit C^1 paths of cone-manifold structures on N times S^1 joining hyperbolic, half-pipe, and anti-de Sitter geometries, the first geometric transitions in dimension four.
A small closed convex projective 4-manifold via Dehn filling
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In order to obtain a closed orientable convex projective four-manifold with small positive Euler characteristic, we build an explicit example of convex projective Dehn filling of a cusped hyperbolic four-manifold through a continuous path of projective cone-manifolds.
fields
math.GT 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Geometric transition from hyperbolic to anti-de Sitter structures in dimension four
The paper constructs explicit C^1 paths of cone-manifold structures on N times S^1 joining hyperbolic, half-pipe, and anti-de Sitter geometries, the first geometric transitions in dimension four.